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Parallel computations in modular group algebras

Research output: Chapter in Book/Report/Conference proceedingConference contribution

DOI

Standard

Parallel computations in modular group algebras. / Konovalov, Alexander; Linton, Stephen Alexander.

PASCO 10 : Proceedings of the 4th International Workshop on Parallel and Symbolic Computation, International Workshop 21-23 July 2010, Grenoble, France. New York : ACM, 2010. p. 141-149.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Harvard

Konovalov, A & Linton, SA 2010, Parallel computations in modular group algebras. in PASCO 10 : Proceedings of the 4th International Workshop on Parallel and Symbolic Computation, International Workshop 21-23 July 2010, Grenoble, France. ACM, New York, pp. 141-149, 4th International Workshop on Parallel and Symbolic Computation (PASCO 2010), Grenoble, France, 21/07/10. https://doi.org/10.1145/1837210.1837231

APA

Konovalov, A., & Linton, S. A. (2010). Parallel computations in modular group algebras. In PASCO 10 : Proceedings of the 4th International Workshop on Parallel and Symbolic Computation, International Workshop 21-23 July 2010, Grenoble, France (pp. 141-149). New York: ACM. https://doi.org/10.1145/1837210.1837231

Vancouver

Konovalov A, Linton SA. Parallel computations in modular group algebras. In PASCO 10 : Proceedings of the 4th International Workshop on Parallel and Symbolic Computation, International Workshop 21-23 July 2010, Grenoble, France. New York: ACM. 2010. p. 141-149 https://doi.org/10.1145/1837210.1837231

Author

Konovalov, Alexander ; Linton, Stephen Alexander. / Parallel computations in modular group algebras. PASCO 10 : Proceedings of the 4th International Workshop on Parallel and Symbolic Computation, International Workshop 21-23 July 2010, Grenoble, France. New York : ACM, 2010. pp. 141-149

Bibtex - Download

@inproceedings{ee20de09cf2c4021bfce5eede1e88203,
title = "Parallel computations in modular group algebras",
abstract = "We report about the parallelisation of the algorithm to compute the normalised unit group V (FpG) of a modular group algebra FpG of a finite p-group G over the field of p elements Fp in the computational algebra system GAP. We present its distributed memory implementation using the new remote procedure call framework based on the the Symbolic Computation Software Composability Protocol (SCSCP). Using it, we were able for for the first time to perform practical computations of V (FpG) for groups of orders 29 and 36.",
keywords = "OpenMath, SCSCP, Group algebra, Unit group, Remote procedure call",
author = "Alexander Konovalov and Linton, {Stephen Alexander}",
year = "2010",
doi = "10.1145/1837210.1837231",
language = "English",
isbn = "978-1-4503-0067-4",
pages = "141--149",
booktitle = "PASCO 10",
publisher = "ACM",
address = "United States",

}

RIS (suitable for import to EndNote) - Download

TY - GEN

T1 - Parallel computations in modular group algebras

AU - Konovalov, Alexander

AU - Linton, Stephen Alexander

PY - 2010

Y1 - 2010

N2 - We report about the parallelisation of the algorithm to compute the normalised unit group V (FpG) of a modular group algebra FpG of a finite p-group G over the field of p elements Fp in the computational algebra system GAP. We present its distributed memory implementation using the new remote procedure call framework based on the the Symbolic Computation Software Composability Protocol (SCSCP). Using it, we were able for for the first time to perform practical computations of V (FpG) for groups of orders 29 and 36.

AB - We report about the parallelisation of the algorithm to compute the normalised unit group V (FpG) of a modular group algebra FpG of a finite p-group G over the field of p elements Fp in the computational algebra system GAP. We present its distributed memory implementation using the new remote procedure call framework based on the the Symbolic Computation Software Composability Protocol (SCSCP). Using it, we were able for for the first time to perform practical computations of V (FpG) for groups of orders 29 and 36.

KW - OpenMath

KW - SCSCP

KW - Group algebra

KW - Unit group

KW - Remote procedure call

U2 - 10.1145/1837210.1837231

DO - 10.1145/1837210.1837231

M3 - Conference contribution

SN - 978-1-4503-0067-4

SP - 141

EP - 149

BT - PASCO 10

PB - ACM

CY - New York

ER -

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ID: 64174868

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